336384 has 60 divisors (see below), whose sum is σ = 984126. Its totient is φ = 110592.

The previous prime is 336373. The next prime is 336397. The reversal of 336384 is 483633.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 57600 = 528^2 + 240^2 .

It is a super-2 number, since 2×336384² = 226308390912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 336384.

It is an unprimeable number.

336384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4572 + ... + 4644.

2³³⁶³⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492063).

336384 is an abundant number, since it is smaller than the sum of its proper divisors (647742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

336384 is an equidigital number, since it uses as much as digits as its factorization.

336384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 336384 is about 579.9862067325. The cubic root of 336384 is about 69.5470068275.

The spelling of 336384 in words is "three hundred thirty-six thousand, three hundred eighty-four".